Differential Equations with Boundary-Value Problems (MindTap Course List)
9th Edition
ISBN: 9781305965799
Author: Dennis G. Zill
Publisher: Cengage Learning
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Chapter B, Problem 31E
To determine
The solution set of the system of equations
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5.
By using the matrix methods to solve the following linear system:
I1 + 12 – 13 = 5, 3r1 +x2 – 2r3 = -4,
-I1 + 12 - 2r3 = 3;
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2. Find the solution set to the following system of linear equations using Gauss-Jordan
elimination.
(2.x1 + 7x2 – 12.x3
= -9
x1 + 2x2 – 3.x3 = 0
3x1 + 5x2 – 7x3 = 3
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Determine the rank of the coefficient matrix and the augmented matrix.
Chapter B Solutions
Differential Equations with Boundary-Value Problems (MindTap Course List)
Ch. B - Prob. 1ECh. B - Prob. 2ECh. B - Prob. 3ECh. B - Prob. 4ECh. B - Prob. 5ECh. B - Prob. 6ECh. B - Prob. 7ECh. B - Prob. 8ECh. B - Prob. 9ECh. B - Prob. 10E
Ch. B - Prob. 11ECh. B - Prob. 12ECh. B - Prob. 13ECh. B - Prob. 14ECh. B - In Problems 1522 determine whether the given...Ch. B - Prob. 16ECh. B - Prob. 17ECh. B - Prob. 18ECh. B - Prob. 19ECh. B - Prob. 20ECh. B - Prob. 21ECh. B - In Problems 1522 determine whether the given...Ch. B - Prob. 23ECh. B - Prob. 24ECh. B - Prob. 25ECh. B - Prob. 26ECh. B - Prob. 27ECh. B - Prob. 28ECh. B - Prob. 29ECh. B - Prob. 30ECh. B - Prob. 31ECh. B - Prob. 32ECh. B - Prob. 33ECh. B - Prob. 34ECh. B - Prob. 35ECh. B - Prob. 36ECh. B - Prob. 37ECh. B - Prob. 38ECh. B - Prob. 39ECh. B - Prob. 40ECh. B - Prob. 41ECh. B - Prob. 42ECh. B - Prob. 43ECh. B - Prob. 44ECh. B - Prob. 45ECh. B - Prob. 46ECh. B - Prob. 47ECh. B - Prob. 48ECh. B - Prob. 49ECh. B - Prob. 50ECh. B - Prob. 51ECh. B - Prob. 52ECh. B - Prob. 53ECh. B - Prob. 54ECh. B - Prob. 55ECh. B - Prob. 56ECh. B - Prob. 57ECh. B - Prob. 58ECh. B - Prob. 59ECh. B - Prob. 60ECh. B - Prob. 61ECh. B - Prob. 62E
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- 4. Use Gaussian elimination with backward substitution to solve the following linear system: 2x1 + x2 – x3 = 5, x1 + x2 – 3x3 = -9, -x1 + x2 + 2x3 = 9;arrow_forward3. Solve the linear system below a + 2b – c + 4d = 1 -a – 3b + 2c + 2d = 4 2a + 2b – c + 2d = 2 a + 2b + c =1 using, c. Gauss-Jordan methodarrow_forward3. Solve the linear system below a + 2b – c + 4d = 1 -a – 3b + 2c + 2d = 4 2a + 2b – c + 2d = 2 | a + 2b + c = 1 using, b. Gaussian Elimination c. Gauss-Jordan methodarrow_forward
- 4. Solve the following systems of linear equations using Gaussian elimination. (а)2х + 4у - 3z = -5 2y + 6z = 2 x + y – 2z = -1 (b)x - y + 2z = 4 Зх + 4у — z 3 = 5 4x – 4y + 8z = 1arrow_forwardProblem. 14: Express the system of linear equations in matrix form. 7x – 7 y + 6 = -1 3x + 8 y – 5 = 1 læ – 8 y + 7 = 5 -1 1arrow_forward1. Consider the following system of linear equations. Xị – 2x2 – x3 – 4x4 = 1 2.x1 4.x2 + 3.x3 + 7x4 = 7 -2x1 + 4x2 + x3 + 5x4 = -3 (a) Find the solution set of the above system and write it in set notation. (b) Write the general solution as the sum of a particular solution and a vector in N(A), where A is the coefficient matrix of the above system.arrow_forward
- 2. Use Gauss elimination with back substitution to solve the system of linear equations: &x, +x2 +4x3 +8x, = 5 x1 - 7x, – 2x, – 7x4 : 1 7x, - 2x2 + 7x3 +2x4 =-5 X1 +x, +2x3 – 6x, = -5 Round-off to 5 significant figures.arrow_forwardFind the general solution of the system of DEs 12 1 3 t2 (;) +-(; ?)-7arrow_forward- Solve the following system of equations 3x – 2y + 2 = 9 r + 2y – 2z = -5 x + 2y – 42 = -2 using (a) Gaussian elimination method. (b) Gauss-Jordan method. (c) Cramer's Rule.arrow_forward
- Problems 74–77 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. 74. To graph g(x) = |x + 2| – 3, shift the graph of f(x) = \x| units 76. Solve: logs (x + 3) = 2 units and then 77. Solve the given system using matrices. number Teft/right| number up/down Зх + у + 2z %3 1 75. Find the rectangular coordinates of the point whose polar 2x – 2y + 5z = 5 x + 3y + 2z = -9 coordinates are ( 6, 3arrow_forward3. Solve the following system of equations 3x - 2y +z = 9 I+ 2y - 2z = -5 x + 2y - 4z = -2 using (a) Gaussian elimination method. (b) Gauss-Jordan method. (c) Cramer's Rule.arrow_forward1. Solve the following system using either Gaussian elimination or Gauss-Jordan elimination. x+ y- 2z = 2 2x - y+3z = 15 3x +2y+ z = 19arrow_forward
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